simplify: (3x - 4)(2x^2 - 3x + 5)\na 6x^3 - 17x^2 + 27x - 20\nb 6x^3 - x^2 + 3x - 20\nc 6x^3 - 9x^2 + 12x…
simplify: (3x - 4)(2x^2 - 3x + 5)\na 6x^3 - 17x^2 + 27x - 20\nb 6x^3 - x^2 + 3x - 20\nc 6x^3 - 9x^2 + 12x - 20\nd 6x^3 - 17x^2 + 3x - 20
Answer
Explanation:
Step1: Apply distributive property
$(3x - 4)(2x^{2}-3x + 5)=3x(2x^{2}-3x + 5)-4(2x^{2}-3x + 5)$
Step2: Multiply each term
$3x(2x^{2}-3x + 5)=3x\times2x^{2}-3x\times3x + 3x\times5=6x^{3}-9x^{2}+15x$ $4(2x^{2}-3x + 5)=4\times2x^{2}-4\times3x + 4\times5 = 8x^{2}-12x + 20$
Step3: Combine results
$(6x^{3}-9x^{2}+15x)-(8x^{2}-12x + 20)=6x^{3}-9x^{2}-8x^{2}+15x + 12x-20$ $=6x^{3}-17x^{2}+27x-20$
Answer:
A. $6x^{3}-17x^{2}+27x - 20$